133 citations · 322 across the 19 of their papers we have counts for
8 papers · 1 filter
The difference variational bicomplex and multisymplectic systems
Linyu Peng, Peter E. Hydon
The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of…
Transformations, symmetries and Noether theorems for differential-difference equations
Linyu Peng, Peter E Hydon
The first part of this paper develops a geometric setting for differential-difference equations that resolves an open question about the extent to which continuous symmetries can d…
A modified formal Lagrangian formulation for general differential equations
Linyu Peng
In this paper, we propose a modified formal Lagrangian formulation by introducing dummy dependent variables and prove the existence of such a formulation for any system of differen…
Statistical Einstein manifolds of exponential families with group-invariant potential functions
Linyu Peng, Zhenning Zhang
This paper mainly contributes to a classification of statistical Einstein manifolds, namely statistical manifolds at the same time are Einstein manifolds. A statistical manifold is…
Symmetries and reductions of integrable nonlocal partial differential equations
Linyu Peng
In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schrödinger equation…
Symmetries, conservation laws and Noether's theorem for differential-difference equations
Linyu Peng
This paper mainly contributes to the extension of Noether's theorem to differential-difference equations. For that purpose, we first investigate the prolongation formula for contin…
Self-adjointness and conservation laws of difference equations
Linyu Peng
A general theorem on conservation laws for arbitrary difference equations is proved. The theorem is based on an introduction of an adjoint system related with a given difference sy…
Relations between symmetries and conservation laws for difference systems
Linyu Peng
For difference variational problems on lattice, this paper presents a relation between divergence variational symmetries and conservation laws for the associated Euler-Lagrange sys…